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Finding the Fourth Proportional to 9,777.20, 14,666.61 and 3,203.24

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Solution

The fourth proportional to 9,777.20, 14,666.61 and 3,203.24 is: 4,805.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,777.20 : 14,666.61 = 3,203.24 : x
  2. Step 2: Convert to fraction form
    9,777.20/14,666.61 = 3,203.24/x
  3. Step 3: Cross multiply
    9,777.20x = 14,666.61 × 3,203.24
  4. Step 4: Simplify right side
    9,777.20x = 46,980,671.82
  5. Step 5: Solve for x
    x = 46,980,671.82/9,777.20
  6. Step 6: Final answer
    x = 4,805.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.